E
Eduardo Hernández
Researcher at Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto
Publications - 74
Citations - 2090
Eduardo Hernández is an academic researcher from Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto. The author has contributed to research in topics: Differential equation & Uniqueness. The author has an hindex of 19, co-authored 68 publications receiving 1783 citations. Previous affiliations of Eduardo Hernández include University of Chile & University of Santiago, Chile.
Papers
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On a new class of abstract impulsive differential equations
Eduardo Hernández,Donal O'Regan +1 more
TL;DR: In this paper, a new class of abstract impulsive differential equations for which the impulses are not instantaneous is introduced, and the concepts of mild and classical solution are established, and some results on the existence of these types of solutions are established.
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Existence results for partial neutral functional integrodifferential equations with unbounded delay
TL;DR: In this article, the existence of mild solutions for a partial neutral functional integrodifferential equation with unbounded delay using the Leray-Schauder alternative was proved using the Langevin method.
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On recent developments in the theory of abstract differential equations with fractional derivatives
TL;DR: Agarwal et al. as discussed by the authors considered a general class of abstract fractional differential equations and showed that the existence of a solution for these problems is not always known, since the considered variation of constant formulas is not appropriate.
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Existence of periodic solutions of partial neutral functional differential equations with unbounded delay
TL;DR: In this article, the authors established a result of existence of periodic solutions for the class of quasi-linear partial neutral functional differential equations with unbounded delay, which can be described as the abstract functional differential equation ( d / dt )( x ( t )+ F ( t, x t )).
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A note on partial functional differential equations with state-dependent delay
TL;DR: In this article, the existence of mild solutions for a class of abstract partial functional differential equations with state-dependent delay was studied. But they did not consider the case of partial functional functions with state dependent delay.